Explore topic-wise InterviewSolutions in Current Affairs.

Factorize:

$2(x+y{)}^2-9(x+y)-5$

Find the zero of the polynomial:
(i) $p\left(x\right)=x-5$
(ii) $q\left(x\right)=x+4$
(iii) $r\left(x\right)=2x+5$
(iv) $f\left(x\right)=3x+1$
(v) $g\left(x\right)=5-4x$
(vi) $h\left(x\right)=6x-2$
(vii) $p\left(x\right)=ax+b,a\ne 0$
(viii) $q\left(x\right)=4x$

In a parallelogram ABCD,any point E is taken on the sides BC.AE and DC when produced meet at a point M.Prove that $ar\left(△ADM\right)=ar\left(ABMC\right)$.

49a^2+70ab+25b^2

Find the difference between compound interest on Rs. 8,000 in 2 years and at 5% per annum.

Whether is it possible to construct a unique quadrilateral ABCD with AB = 6cm, AD = 7cm, $\angle$ABC = ${30}^{\circ }$ , $\angle$DAB = ${60}^{\circ }$,

$\angle$ADC = ${80}^{\circ }$ ? If yes, construct it and find $\angle$BCD.

In triangle PQR, Q > angle R; PA is the bisector of angle QPR ; PM IS perpendicular to PR .prove that angle APM=1/2(angle Q - angle R).

Formulas of statistics

Find a quadratic polynomial with rational coefficients whose on zero is √5-2

From a solid cylinder whose height is $2.4$ cm and diameter $1.4$ cm, a conical cavity of the same height and same diameter is hollowed out. Find the total surface area of the remaining solid to the nearest $c{m}^2$.

If (x-1, y +3) = (7, -7), then find the values of x and y respectively.

Factorise the quadratic polynomial by splitting the middle term: y ² - 4 y –21

The radius of the circle is 7cm and the angle subtended by the arc is 60°. If the area of $\Delta$OAB is $21c{m}^2$,then the area of segment ABP is

The angle bisection of an angle yields the same angle as that created from a ${60}^{\circ }$ construction. What is the value of the angle in degrees?___

If 2x³+ax²+bx- 2 leaves the remainders 7 and -20 when divided by (2x-3) and (x+3) respectively. Find the value of a and b.

Each issue of a weekly cost Rs. 10. However on subscription of 156 issues $30\%$ of the total amount and on 52 issues $25\%$ of the total amount gets saved. What difference exists between the per issue cost obtained through both subscription?

Complete this number series-13,15,19,?,43,45,139.what is at the place of' ?'

Algebraically prove that

(a+b)² = a²+b²+2ab

A cubical block of side 10 cm is surmounted by a hemisphere. What is the largest diameter that the hemisphere can have? Find the cost of painting the total surface area of the solid so formed, at the rate of Rs 5 per 100 sq. cm [Use $\pi =3.14$]

The inclination of the line AB in the given figure is ___

Area is a quantity that expresses the extent of a __ dimensional figure or shape in the plane.

If the angles of a pentagon are yo, (y - 6)^o, (y + 8)^o, (2y - 22)^o and (24 + 35)^o, then the value of y is

If APB and CQD are parallel lines and a transversal PQ cut them at P and Q, then the bisectors of angles APQ, BPQ, CQP and PQD form a

Express $8^{-2}$ as a exponent with base 2 :

If $log\frac{a-b}{2}=\frac{1}{2}(loga+logb)$, show that:
$a^2+b^2=6ab$

The value of $(4+\sqrt{6})(4-\sqrt{6})$ is equal to

3+2+90

Find the percentage increse in the area of a triangle if its each side is doubled.PLEASE GIVE SIMPLE EXPLANATION AND HOW IT CAME IN BRACKET.

In the given figure, A,B,C are the mid-points of sides xy, yz and xz respectively of $△xyz$.
If AB= 5.5 cm, BC= 3.5 cm and AC= 6 cm, then perimeter of $△xyz=$ ______ cm.

The two equal sides of an isosceles triangle with fixed bas b are decreasing at the rate of 3 cm/s. How fast is the area decreasing when the two equal sides are equal to the base ?

A and B have certain number of oranges. If B gives 10 oranges to A then A will have twice the number of oranges left with B.If A gives 10 oranges to B then both have the same same number of oranges.Find the number of oranges with A and B.

$\text{If}{x}^2=7-\sqrt{48}$, then $x$ = _______________

Please tell me how to prove that root 2 is an irrational number descriptively step by step.

Is 0.140140014000140000..... is an irrational number between 1/7 and 2/7

Pls answer

Subtract $4x^3+8x^2$ from $-2x^3+3x^2$. .

Which of the following should be the SECOND sentence after rearrangement?

If A = {1, 2, 3}, B = {1, 4, 5}, then A - B = _______ ?